var findEndOfMath=function(delimiter,text,startIndex){var index=startIndex;var braceLevel=0;var delimLength=delimiter.length;while(index<text.length){var character=text[index];if(braceLevel<=0&&text.slice(index,index+delimLength)===delimiter){return index}else{if(character==="\\"){index++}else{if(character==="{"){braceLevel++}else{if(character==="}"){braceLevel--}}}}index++}return -1};var splitAtDelimiters=function(startData,leftDelim,rightDelim,display){var finalData=[];for(var i=0;i<startData.length;i++){if(startData[i].type==="text"){var text=startData[i].data;var lookingForLeft=true;var currIndex=0;var nextIndex;nextIndex=text.indexOf(leftDelim);if(nextIndex!==-1){currIndex=nextIndex;finalData.push({type:"text",data:text.slice(0,currIndex)});lookingForLeft=false}while(true){if(lookingForLeft){nextIndex=text.indexOf(leftDelim,currIndex);if(nextIndex===-1){break}finalData.push({type:"text",data:text.slice(currIndex,nextIndex)});currIndex=nextIndex}else{nextIndex=findEndOfMath(rightDelim,text,currIndex+leftDelim.length);if(nextIndex===-1){break}finalData.push({type:"math",data:text.slice(currIndex+leftDelim.length,nextIndex),rawData:text.slice(currIndex,nextIndex+rightDelim.length),display:display});currIndex=nextIndex+rightDelim.length}lookingForLeft=!lookingForLeft}finalData.push({type:"text",data:text.slice(currIndex)})}else{finalData.push(startData[i])}}return finalData};var splitWithDelimiters=function(text,delimiters){var data=[{type:"text",data:text}];for(var i=0;i<delimiters.length;i++){var delimiter=delimiters[i];data=splitAtDelimiters(data,delimiter.left,delimiter.right,delimiter.display||false)}return data};var renderMathInText=function(text,delimiters){var data=splitWithDelimiters(text,delimiters);var fragment=document.createDocumentFragment();for(var i=0;i<data.length;i++){if(data[i].type==="text"){fragment.appendChild(document.createTextNode(data[i].data))}else{var span=document.createElement("span");var math=data[i].data;try{katex.render(math,span,{displayMode:data[i].display})}catch(e){if(!(e instanceof katex.ParseError)){throw e}console.error("KaTeX auto-render: Failed to parse `"+data[i].data+"` with ",e);fragment.appendChild(document.createTextNode(data[i].rawData));continue}fragment.appendChild(span)}}return fragment};var renderElem=function(elem,delimiters,ignoredTags){for(var i=0;i<elem.childNodes.length;i++){var childNode=elem.childNodes[i];if(childNode.nodeType===3){var frag=renderMathInText(childNode.textContent,delimiters);i+=frag.childNodes.length-1;elem.replaceChild(frag,childNode)}else{if(childNode.nodeType===1){var shouldRender=ignoredTags.indexOf(childNode.nodeName.toLowerCase())===-1;if(shouldRender){renderElem(childNode,delimiters,ignoredTags)}}}}};var defaultOptions={delimiters:[{left:"$$",right:"$$",display:true},{left:"\\[",right:"\\]",display:true},{left:"\\(",right:"\\)",display:false},{left:"$",right:"$",display:false}],ignoredTags:["script","noscript","style","textarea","pre","code"]};var extend=function(obj){var source,prop;for(var i=1,length=arguments.length;i<length;i++){source=arguments[i];for(prop in source){if(Object.prototype.hasOwnProperty.call(source,prop)){obj[prop]=source[prop]}}}return obj};var renderMathInElement=function(elem,options){if(!elem){throw new Error("No element provided to render")}options=extend({},defaultOptions,options);renderElem(elem,options.delimiters,options.ignoredTags)};